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Is it true that The smaller the standard deviation of a normal curve the higher and narrower the graph?
Yes, that's true. In a normal distribution, a smaller standard deviation indicates that the data points are closer to the mean, resulting in a taller and narrower curve. Conversely, a larger standard deviation leads to a wider and shorter curve, reflecting more variability in the data. Thus, the standard deviation directly affects the shape of the normal distribution graph.
Which factor does the width of the peak of a normal curve depend on?
The width of the peak of a normal curve depends primarily on the standard deviation of the distribution. A larger standard deviation results in a wider and flatter curve, indicating greater variability in the data, while a smaller standard deviation yields a narrower and taller peak, indicating less variability. Thus, the standard deviation is crucial for determining the spread of the data around the mean.
What is the standard deviation of a standard normal distribution?
The standard deviation in a standard normal distribution is 1.
In the standard normal distribution the standard deviation is always what?
The standard deviation in a standard normal distribution is 1.
What is Normal of Standard Normal Probability Distribution?
with mean of and standard deviation of 1.
Is it true that The smaller the standard deviation of a normal curve the higher and narrower the graph?
Yes, that's true. In a normal distribution, a smaller standard deviation indicates that the data points are closer to the mean, resulting in a taller and narrower curve. Conversely, a larger standard deviation leads to a wider and shorter curve, reflecting more variability in the data. Thus, the standard deviation directly affects the shape of the normal distribution graph.
What is the standard deviation of a standard normal distribution?
The standard deviation in a standard normal distribution is 1.
In the standard normal distribution the standard deviation is always what?
The standard deviation in a standard normal distribution is 1.
What is the standard normal deviation?
The standard deviation of a normal deviation is the square root of the mean, also the square root of the variance.
What is the mean and standard deviation for the standard normal curve?
Mean = 0 Standard Deviation = 1
A standard normal distribution has a mean of and standard deviation of?
Mean 0, standard deviation 1.
What is Normal of Standard Normal Probability Distribution?
with mean of and standard deviation of 1.
How do you apply standard deviation to normal curve?
The distance between the middle and the inflection point is the standard deviation.
How does standard normal distribution differ from normal distribution?
The standard normal distribution has a mean of 0 and a standard deviation of 1.
What is the difference between a general normal curve and a standard normal curve?
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
Why don't all normal curves have the same standard deviation?
Because the standard deviation is one of the two parameters (the other being the mean) which define the Normal curve. The mean defines the location and the standard deviation defines its shape.
Is the standard normal distribution has a mean of 1 and standard deviation of 0?
No.
